21632311417472 has 128 divisors (see below), whose sum is σ = 49812598252800. Its totient is φ = 9165521756160.

The previous prime is 21632311417459. The next prime is 21632311417489. The reversal of 21632311417472 is 27471411323612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×21632311417472³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741046397 + ... + 741075587.

It is an arithmetic number, because the mean of its divisors is an integer number (389160923850).

Almost surely, 2^{21632311417472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21632311417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24906299126400).

21632311417472 is an abundant number, since it is smaller than the sum of its proper divisors (28180286835328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21632311417472 is an equidigital number, since it uses as much as digits as its factorization.

21632311417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38594 (or 38582 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The spelling of 21632311417472 in words is "twenty-one trillion, six hundred thirty-two billion, three hundred eleven million, four hundred seventeen thousand, four hundred seventy-two".